She should use a computer to select 30 students at random then ask which ones play chess. The other options could produce more skewed results.
Answer:
5m - 10. Easy
Step-by-step explanation:
5m - 10
Answer:Gary made 15 baskets.
Susan made 10 baskets.
Bill made 17 baskets.
Step-by-step explanation:
Let x represent the number of baskets that Gary made.
Let y represent the number of baskets that Susan made.
Let z represent the number of baskets that Bill made.
Gary made 5 baskets than Susan this season. This means that
x = y + 5
Bill made 3 less than twice as many baskets as Susan. This means that
z = 2y - 3
Together, all three made 42 baskets. This means that
x + y + z = 42 - - - - - - - - - - 1
Substituting x = y + 5 and z = 2y - 3 into equation 1, it becomes
y + 5 + y + 2y - 3 = 42
4y + 2 = 42
4y = 42 - 2 = 40
y = 40/4 = 10
x = y + 5 = 10 + 5
x = 15
z = 2y - 3 = 2 × 10 - 3
z = 20 - 3 = 17
Answer:
<em>x=60°</em>
<em>x=48°</em>
<em>x=21°</em>
Step-by-step explanation:
<u>Inequalities</u>
The sum of the exterior and the interior angle of a triangle is 180°.
The measure of an exterior angle of a triangle is called x, thus the interior angle is 180-x.
This angle is said to be at least twice x, thus:
180 - x ≥ 2x
Adding x:
180 ≥ 3x
Dividing by 3:
60 ≥ x
Swapping the inequality:
x ≤ 60°
The measure of x must be less or equal to 60°.
Three possible solutions are:
x=60°
x=48°
x=21°